Mechanism for division



April 1, 1941. H. J. FURBER 2,236,794-

MECHANISM FOR DIVISION Filed 001:. 9, 1935 7 Sheets-Sheet 1 IHI 0% H. J. FURBER MECHANISM FOR DIVISION Original Filed Oct. 9, 1935 7 Sheets-Sheet 2 IN VENTOR.

P 1941- H. J. FURBER MECHANISM FOR DIVISION Original Filed Oct. 9, 1935 7 Sheets-Sheet 5 INVENTOR April 1, 1941. H. J. FURBER uzcmmrsm FOR DIVISION Original Filed Oct. 9, 1935 7 Sheets-Sheet 4 M HE .NQ AN amww ii in m3 W April 1, 1941. H. J. FURBER MECHANISM FOR DIVISION O i 'inal Filed 001.9,, 1955 7 Sheets-Sheet 5 ZQDR IIP.

IN VEN TOR.

April 1, 1941. H. J. FURBER .2 6.7

MECHANISM FOR DIVISION Original Filed Oct. 9, 1935 Q 7 Sheets-Sheet 6 will INVENTOR. /--7- JLJ'M April 1, 1941. H. J. FURBER MECHANISM FOR DIVISION Original Filed Oct. 9, 1935 'ZSheets-Sheet 'T Patented Apr. 1, 1941 UNITED STATES PATENT OFFICE 2,236,794 MECHANISM FOR DIVISION Henry Jewett Furber, Silver Spring, Md.

Original application October 9, 1935, Serial no. 44,159. Divided and this application July 28, 1937, Serial No. 156,198

9 Claims.

continuation, in part, of application Serial No.-

723,595, filed May 2, 1934.

An object of this invention is to provide means for developing a quotient, whether positive or negative, by means of an accumulator operative automatically in one respective direction or the other, accordingly as the dividend be positive or negative in quality; and automatically to distinguish the quality of the quotient.

Another object of this invention is to provide means forperforming division by subtractive operation in the reduction of the dividend to zero or negligible remainder; and to distinguish the quotient as positive or negative accordingly as the factors be similar or dissimilar in quality, re-

cordless of the direction of motion at thesaid numbers of the. figures, are preserved herein.

Sufllcient of the mechanism therein disclosed, is reproduced in the present application, to illustrate the operation of division, although not necessarily confined thereto,

' With foregoing and other objects in view, as may appear, the invention now will be described in connection with the accompanying figtires, in which details superfluous to division are. with view to clearness, in so far as possible suppressed.

Figure 1 is a general diagrammatic view of the calculating unit adapted to division.

Figure 2 is a diagrammatic view of the manual controls at which the factors are established, and state-control meanswhich selectively conditions the calculating unit for positive or negative computation.

Figure 3 is a diagrammatic view from the right of the disk 16 shown in Figure 1, with various electric conductors which pass from face to face.

Figure 6 is a diagrammatic view from the right of members shown in Figure 1, which transmit motion from shaft 53 to the shafts 58 and 58a.

Figure 7 is a diagrammatic plan view of the shafts 58, 58a, noted in Figure 6 with members and electrical connections appertinent thereto.

Figure 8 is a detail view from the left of the armature 63a shown in Figure 7, with electrical connections.

Figure 9 is a diagrammatic view from the right of a timing arm 18 shown in Figure 1, with terminals corresponding to numerals at which cirright of the sector I22 shown in Figure 11, to-

Figure 4 is a diagrammatic view of the disk 40' at the transmitter 40 shown in Figure 1.

' Figure 5 is a view of the lower face of the disk 40 at the transmitter 40.

gether with the multiple electric switch 0.24 shown in Figure 1.

Figure 13 is a diagrammatic wiring plan showing in three progressive plans at right angles to the shaft 58, the accumulator arms 6| 6|", Gl', together with electrical connections which serve as a. comparator to determine when, in operations of division, dividend and remainders are less than the divisor.

Figure 14 is a diagrammatic view of the disks 40, 40 40 shown in Figure l with electrical connections.-

Figure 15 is a side view from the leftof the armature 62"" shown in Figure 1, operative in restoring an accumulator arm to zero position.

Figure 16 is a diagrammatic view from, the left' of the armature 69 shown in Figures 1 and 7 operative in clearing calculating unit.

Figure 17 is a diagrammatic view of a typical quotient arm 21' with contacts to close numeral circuits which select the numerals of the quotien-t.

Figure 18 is a detail view ofinkingribbon for indicating positive and negative resultants in different colors, with solenoid to shift position.

Figure 19 is a view of mechanism for effecting column-shift.

. Figure 20 is a View of the lower face of disk 40 adapted to six denominational accumulator orders for controlling amplitude of column-shift.

Figure 21 is a plan view of a typical disk 40'! adapted to six denominational accumulator 'orclers, for relaying actuating and immobilizing circuits in column-shift.

Figure 22 is a view of the lower face of the disk MP with circuits selectively to close circuits to quotient members denominationally corresponding to six orders.

All wheels disclosed in the above figures are toothed throughout, there being no mutilated gearings. ,The wires leading from the positive and negative poles of the source ZZ are designated respectively as wires s+ and s-. Cables carrying a plurality of wires are indicated by heavy lines. Bridges or switches at which the circuits carried by cables are shown as closed or broken, are multiple conductors which close separately the circuits of the several wires, being similar in principle to the switch S, shown in Figure 15, Furber 2,083,947. The direction of motion or transmission at rotary members, is indicated by arrows.

The term accumulator is employed to designate collectively the members 6|, 6|, GI (Figure 1) and GI to SI (Figure 19), said members individually being termed accumulator arms, as shown in Figures 1, 9, 13, 19 the accumulator arms SI, SI being concealed by contact benches in Figure 1.

General description The dividend may be transmitted to the calculating unit (Figure 1) by means of electric circuits controlled by manual levers I, l, I" (Figure 2), or by equivalent devices. A master switch I (Figure 2) is a state control which determines the nature of the operation which shall be performed. The depression of the push button P.I, (Figure 2) causes motion to be transmitted from an electric motor, M. (Figure 1), preferably in constant operation and revolving always in the same direction, to the accumulator arms 6|, 6|, BI, which are elements, respectively in progressive denominational orders of the apparatus and correspond to hundreds, tens and units. Motion is likewise communicated to a progressively movable switch or timing arm I8 (Figures 1, 9) which measures the movement of the accumulator arms 6|, SI", SI', and arrests such members at angles of displacement corresponding to quantities selected at the manual controls.

The relays C.II, C.I2 (Figure 1) control the direction of motion communicated to the accumulator arms 6|, GI", GI from the motor M. consistently with the positive or negative quality of the quantity transmitted.

The wheel I6 (Figures 1, 3) closes and breaks,

. through conductors which it carries, circuits established at the master switch I (Figure 2) or closed at the push buttons P.I, PJ, in such selective order, as to bring the members thereby affected, into operation in their proper trrn.

Said push-buttons are introduced, in order that the calculating unit be brought into operation, only after all other controls are properly adjusted.

Referring to Figure 1, the motor M connected with the source ZZ through the wires 8 r, imparts motion through the shaft 50, wheels SI, 52, shaft 53, wheels 54, 55, 56 (Figures 1, 6), armature 51 and the electric clutch 0.5 to the shaft 58, on which are mounted the sleeves 6., Cl",

ill, carrying respectively the differentially operated accumulator arms GI, 6|, H'.

Motion is selectively transmitted to the sleeves I, 80', SI, on which are fixed the accumulator arms 6|, BI", 61'' (Figure 1) by electric clutches CJ', G1", 0.1 are fixed to the shaft 58, and operate respectively on the armature i2, i2", 62". The sleeves I50, 60", 60 are carried by the shaft 58. The armature 62 is integral with the sleeve 60. The armature 62" transmits motion to the sleeve 50", through the composite idler 61" floating on the pivot 65" and thence through the differential gearing DI", the middle member of which is integral with the sleeve 50''. The armature 62 imparts motion to the sleeve 60, in similar manner, through the transmission 8'! and the differential gearing iii. The differentials df', df, are introduced, in order that the accumulator arms 6|, 6| may be responsive, each to quantities originating in its own corresponding denominational order, while simultaneously absorbing the carry-over from orders therebelow.

Positioning pins Q9", 0.9", well known to the art, are indicated in Figure 1, their purpose being 1 to correct overdraft, and to block a lateral member of a planetary gearing when the other lateral member be alone in operation. Such positioning'pins may be employed where needed.

The orbits of the accumulator arms 6|, SI", SI' are each divided into ten unitary steps of 36 corresponding to the numerals 0-9 (Figure 13).

Fixed on the motor shaft 50 is the electric clutch C.2I, which, when energized, transmits motion through the armature I4 floating in soilclarity with the pinion 15 on the motor shaft 50, to the wheel I6, fixed on the shaft 11 together with the timing arm 18 (Figures 1, 9). The timing arm I8 synchronizes in movement with the accumulator arms 6|, 6|", BI, moving, for example, through an arc of 3.6, while an accumulator arm 6|, 6 I GI moves through an arc of 36. It is the function of the timing arm I8 to close circuits, as it advances, which selectively arrest .the accumulator arms 6|, 8|", GI, at angles of displacement corresponding to the quantities established at the manual controls shown in Figure 2 as will hereinafter be described.

The manual controls include a series of levers, I, I", I' (Figure 2) corresponding respectively to the descending orders, hundreds, tens and units, of the accumulator. Further controls comprise the master-switch I (Figure 2), the position of which regulates the electric circuits variously active in different operations. It is shown in Figure 2 with circuits limited to those employed in setting up the dividend and in the subtractive operations of subsequent division; and is adjustable to positions, presently described.

Fixed together with the levers I, I", I, respectively, (Figure 2) on the axles 3, 3", 3", are the cams I, I, 4", which in normal position support the bridges 5', 5", 5". Deflection of the levers I, I", I displaces the cams 4', l", 4", releasing, respectively the bridges 5, i", 5, which, falling through gravity, close circuits over the wires e', e", e', (Figures 2 and 1) to the electric relays C), 0.2, 0.2". These circuits parallel each the others, the relays C.2, C1", C.2' provoking, respectively, movement of the accumulator arms 6|, SI", SI, by motor M. as presently described.

The circuit closed at the bridge 5" (Figure 1) for example, when the lever l is deflected, originates at the source ZZ and passes through the wire r, the bridge 5', the wire e over the conductor I. at the disk 40 (Figures 1, 4), present- 1y described, and over the bridge 10" at the relay 0.4" (Figure 1) to the negative pole of the relay 0.2. Circuit to the positive pole of the relay 0.2" is momentarily completed at the bridge 49 through the wireg, connected with the source ZZ (Figure 1) through the wire s+ when, for example, the push-button P.I, (Figure 2), is depressed. The relay 0.2 (Figure l) is then held in stick, by circuit extending from its posi-. tive pole, over the bridges 1I'", 12", carried by the relay 0.2" and the wire s+, back to the source ZZ. From the bridge 12", so closed at the relay 0.2" circuit through the wire 71. extends over the bridge I61 at the relay 0.20, shown with parts broken away in Figure l, and in entirety in Figure 7, to the positive poles of the clutches 0.5, 0.5a, circuit to the negative poles of which may be selectively controlled by the master switch 1 (Figure 2). In the accumulation of a positive dividend, the master-switch 1 is placed in position closing circuit to the negative pole or the clutch 0.5 (Figure l), which transmits motion in clockwise direction to the accumulator arms 6|, 6|, 6I". In the accumulation of a negative dividend, the master-switch is placed in position, closing circuit to the negative pole of the clutch 0.5a; and the movement of the accumulator arms GI, 6|", 6I'" is reversed. The clutch 0.5a (Figures 1, 7) is fixed on the shaft 58a.' The armature 51a of the clutch 0.5a floats on the shaft 58a. The armature 51 of the clutch 0.5, floats on the shaft 58. The wheel 58 meshes with the armatures both 51 and 51a (Figure 6). Fixed respectively to the shafts 58, 58a, are the wheels 59, 5911 (Figures 3, 7) in mesh one with the other, to the effect that when the clutch 0.5 is energized and the shaft 58 is rotated by the motor in clockwise direction, the shaft 58a is rotated in direction opposite thereto; andwhen the clutch- 0.5a is energized, and the shaft 58a is rotated in clockwise direction, the shaft' 58 is rotated in direction opposite to clockwise. The shaft 58a carries transmission largely similar to that carried by the shaft 58; and is provided with an additional clutch 0.8a shown in Figure 7 and with broken shaft in Figure 1, which operates as presently described.

When energized, the clutch 0.5 (Figures 1, '7),

in accumulation of a positive dividend, clutches ZZ, passes through the wire s+ over the bridge 13 through the wire 7"" to the clutch 0.1 and, thence, through the wire s-' back to the source. ZZ. The clutch 0.1 so energized, clutches and rotates its armature 62, which is fixed together with the accumulator arm 8I', on the sleeve In the same manner and through similar circuits, the relays 0.2, 0.2 controlled respectively by the levers I", I, close circuit at the bridges 13", 13, through the wires :i, 9", on the clutches 0.1, 0.1 (Figure 1) whose negative poles are connected with the wire sand which transmit, respectively, motion to the accumulator arms GI", 6|, through the right lateral and middle members of the differential gearings df, (if, The left lateral members of these differential gearings float respectively on the sleeves 60", 60,

and receive the carry over, as above described, 7

relay 0.2" to release its plunger.

The accumulator arms 6|, 6|, iI' when set in motion, are severally and respectively arrested at angles of displacement determined by the levers I, I, I, (Figure 2). Extending past all levers I, I", I", are the wires h b. The wires b -b which correspond to the numerals 1 to 9 are shown as connected with terminals in the orbit of the timing arm 18 and as carried in a cable bb, to the levers I, I", I" (Figures 1, 2). According to the angle at which such levers I, I", I'", be manually deflected, circuits are closed upon selected 1) wires (Figure 2) whence current flows through the levers I, I", I'" and the wires 0', c", 0'" (Figures 2, 1) respectively, to the relays 0.4, 0.4 0.4, .the connections being similar at all the levers I, I, I".

Let lever I (Figure 2), the wire '0'" and the relay 0.4 serve as an example. If the quantity corresponding to an intended dividend be 3; the lever I" is deflected, sothat circuit is thereby closed from the wire b to the wire c" carried by the lever I", and thence to the relay 0.4. It is the function of the relay 0.4 when its circuit be completed at the timing arm 18 (Figure 1), through the wire a, closed by the master-switch 1 (Figure 2) at the conductor I2 on the wire s+ from the source ZZ (Figure 1), and the wires, b, c" to break, at bridge 10 (Figure 1), circuit to the relay 0.2", causing the g This deenergizes the clutch 0.1, which thereuponreleases its armature 62", interrupting, thereby, transmission of motion to the sleeve 60" and the accumulator arm BI', which is arrested at an angle of displacement corresponding in the present example to three units, as will presently appear. The accumulator arms 5|, 8| may be similarly and respectively arrested through the action of the relays 0.4", 0.4 which break circuit to the clutches 0.2, 0.2 at the bridges 10',

The moment at which the relays 0.4, 0.4", 0.4v shall break, respectively at bridges 10', 10", 10", circuit to the relays 0.2, 0.2, 0.2, is

timed by the timing arm 18 (Figures 1, 9, 10) Y which is rotated as above described, on the shaft 11.

The timing arm 18 carries a conductor 18, which, revolving, may close circuits between various pairs of terminals fixed, at the sides of its pathway upon benches. The position and the pathway of arm 18, between such benches 80, is indicated diagrammatically in Figure 10.

Extensions of the wires b-b (Figure 9) emerge from the cable bb, in recurrent series separated one from another, by neutral spaces which correspond to zero, from any one of which neutral spaces the timing arm 18 may enter on an operation.

Assume, as an example, that the positive quantity 598 were to be transmitted to the accumulator arm 5|, 5|, GI" (Figure 1). The lever I would be manually deflected, closing circuit through the wire e at the bridge 5' (Figure 2) to the relay 0.2 (Figure 1) and the circuit from the wire b (Figure 2) through the wire 0 (Figures 2, 1) to the relay 0.4. Similarly, by

from the next lower denominational orders, permanipulation of the levers (Figure 2) circuits are closed respectively through the wires e, e", to the relays 0.2, 0.2 (Figure 1), and from the wires b", b (Figure 2) through the wires 0 (Figures 2, 1) to the relays 0.4", 0.4.

The master-switch 1 (Figure 2) is manually placed in position closing at the contact plate 8, current from the wire on the wire dr leading over the bridge 98 at the relay GM to the negative pole of the clutch 0.5, whose positive pole is connected through circuit of the wire it already traced, back to the source ZZ. At the contact plate l2, circuit is closed by the master-switch 1, from the wire s.+ to the wire a (Figures 2, 1), leading to the series or terminals at the timing arm 18 (Figure 9) The push button P.| (Figure 2) is then depressed, imparting an initial impulse over the bridges 49, 49", 49'" (Figure 1) to the relays 0.2, 0.2, 0.2", through the wire 9, closed momentarily by a conductor of series 84 carried by the wheel 18 (Figures 1, 3).

The relays 0.2, 0.2, 0.2" (Figure 1) energized momentarily through the wire g, contract their plungers and are held in stick by the circuit of s+ completing circuit through the wire h already traced, to the clutch 0.5, and closing circuit, likewise, through the wire 5, j, ;i"', to the clutches 0.1, 0.1, 0.1", as above described. The clutch 0.5, likewise being energized, motion in clockwise direction is imparted by the motor M through the transmission already described, to the accumulator arms 8|,' 8|", Sl.

An extension of the wire 9 passes over the lower bridges of the relays 0.23, 0.22 to the positive pole of the clutch 0.2| (Figure 1), from the negative pole whereof circuit is completed through the wire s back to the source ZZ. So energized, the clutch 0.2| clutches the disk 14 and imparts initial motion through the disk 14, pinion 15, wheel 16 and shaft 11 to the timing arm 18 (Figure 9) rotated invariably, in clockwise direction.

When the timing arm 18 has advanced five steps, circuit is completed by the conductor 18 (Figure 9) from the wire a to the wire b closed at the lever (Figure 2) and through the wire 0' from the lever to the relay 0.4 (Figure 1) which, retracting its plunger, breaks at bridge 18' circuit over the wire 2 to the relay 0.2 arresting thereby, as above described, the accumulator arm 8| at an angular displacement of five steps. The lever (Figure 2) closing circuit through the wire 0" to the relay 0.4" (Figure 1) from the wire b the accumulator arm 8l'" is arrested at an angular displacement of eight steps, when the timing arm 18 (Figure 1), reaches the terminal of the wire b. Circuit is still closed by the relay 0.2 on the clutches 0.5, 0.1, and the accumulator arm 8|" maintains its motion. As the timing arm 18 passes to the terminal of the wire bl, circuit is closed by the conductor 18 through the wires a, b, c" to the relay 0.4"; and the accumulator arm 6| is arrested at an angular displacement of nine steps. The operation of setting up the dividend thereby is completed, the accumulator arms 8|, 5|", il, reflecting the quantity 598. Current through the wire it to the clutch 0.5 now being wholly interrupted, the armature 51 (Figure 1) is released by the clutch 0.5; and the transmission of motion from the motor M is broken to the shaft 88.

The push button P.| is retained, during the above operation, by the solenoid 0.28 (Figure 2).

When circuit is broken through the wire h, the relay 0.28 releases the push button P.| which is restored to normal position by the spring 384'. The circuit of the wire it has been already traced. The negative pole of the solenoid 0.28 is connected with the wires sback to the source ZZ.

In order that the timing arm 18 (Figure 9) may not be arrested when current through the wire g fails, but may be advanced to a neutral position preparatory to a future operation; circuit to the clutch 0.2| after its initial displacement, is sustained by current passing through an extension of the wire a (Figures 2, 1), a conductor of series 8| (Figure 3) at the wheel 18 (Figure 1), the bridges raised of the relay 0.22, the bridge depressed of the relay 0.22 to the clutch 0.2|, whence it passes through the wire s back to the source ZZ. The conductors 8| (Figure 3) are of the necessary are to carry the timing arm 18 to an intermediate neutral position between two series of the b terminals in the orbit of the conductor 19 (Figure 9). In order to obviate the necessity of restoring the arm 18 to the normal position shown in Figure 9, preparatory to each operation, such series of 2) terminals are. as above described, recurrent throughout the entire orbit of the conductor 18.

In setting up a. negative dividend at the accumulator arm 6|, 6|", 6|" (Figure l), the master-switch 1 (Figure 2) is placed in position The operation then involves the same mechanism and circuits as in setting up a positive dividend except that at the contact plate l2, circuit is closed from the positive pole of the source ZZ, to the wire 1 leading over the bridge 2G9 depressed at the relay 0. and the bridge |0| raised at the relay 0.|2, to the positive pole of the relay 0. (Figure 1) which breaks, at the bridge 98, the circuit of the wire dr to the clutch 0.5, andcloses at the bridge 99, the circuit of the wire dr to the relay 0.5a, reversing, thereby, the motion of the members 6|, 6|, 6|". The negative pole of the relay 0.|| (Figure 1) is connected through the wire 3* back to the source ZZ. The relay 0.|2 is energized by the extension of the wire (11' hereintofore traced, which leads to its negative pole. The positive pole of the relay 0.|2 is connected with the source 22, through the wire s+. The push button P.| (Figure 2) is, as before depressed and the negative dividend is accumulated at the accumulator arms 6|, 5|", 5|"' (Figure 1).

Movement of the timing arm 18 (Figures 1, 9) is maintained, as in addition, until it reaches a neutral position between two series of b terminals, by current through the extension of the wire a passing through a conductor of series 8| (Figure 3) carried by the wheel 16 to the clutch 0.2l (Figure 1).

As the accumulator advances from zero position in the accumulation of positive quantities, positive carry over is transmitted, during each successive tenth step displacement of the accumulator arms 6|", 8|" (Figure 1) and borrowing is eifected at successive first step displacements in opposite direction, so long as, at the accumulator, a positive quantity be latent, Means are provided whereby the transfer clutches 0.8", 0.8 at shaft 58, shall, similarly, as the accumulator advance from zero position in contra-clockwise direction, in the accumulation of negative quantities, transmit a negative carry-over additively at each successive tenth step displacement of the accumulator arms 8|"', 8|", so long as a negative quantity be latent ataccumulator;

and borrow at successive first step displacements in relatively opposite direction. This now will be explained.

Referring to Figure 7, the shaft 58a carries the sleeves 60a, 60a, 60a! which are rotated respectively by the clutches CJa', 0.1a", CJa simultaneously with the sleeves 6!), 80'', 60, carried by the shaft 58 and rotated by the motor M through the clutches C.I, 0.1, 0.1". Circuit is closed simultaneously at the bridges 13, 13a, through the wires i, id, to the clutches C.'l, CJa'; through the wires 7", id" to the clutches CJ, CJa"; and circuit is closed simultaneously, at the bridges 13", 130', through the wires 1"', ya, to the clutches C.'l", CJa', the negativepoies of the clutches C.'I, C.1a', CJ", CJa", CJ', CJa' being all connected through the wire swith the source ZZ. j

The armature of the clutch 0.1a is the wheel 62a (Figure '7) which floats on shaft 58a and transmits motion to the sleeve 68a, through a composite idler not shown but similar to the idler 61' (Figure 1), and the differential dfa' (Figure 7), the middle member of which is fixed to the sleeve 60a. The armature of the clutch 0.7a" is the wheel 62a, which floats on the shaft 58a and transmits motion to the sleeve 60a through a composite idler similar to idler 61" (Figure 1), andthe differential dfa" (Figure 7), the middle member of which is fixed to the sleeve 60a". The armature of the clutch CJa is the disk 62a" fixed to the sleeve 60a".

The carry-over, at the shaft 58a, is transmitted from .the sleeve 68a to the sleeve 60a", by the clutch C.8a integral with the sleeve lita", the geared armature 6341" floating onshaft 58a, transmission similar to the pinion H" (Figure 1) shaft 65", and the pinion 66", to the left lateral member of the difierential dfa" (Figure 7) which floats on the sleeve 60a". The carryover is in like manner transmitted from the sleeve 60a" to the sleeve 60a, by the clutch C.8a" fixed to the sleeve 60a", and transmission similar to the transmission 63", 64, 65, 66' (Figure 1),

and the differential dfa (Figure 7) the left lateral member of which floats on the sleeve 60a.

Integral with the sleeve 60a is a clutch (3.811 (Figures 1, '7) similar to .the clutches C.8a, C.8a which transmits carry-over to a denominational order consisting of a single member, the armature 63a. This order is higher than the highest order of the accumulator and corresponds to thousands, in the present drawings. The armature 63a carries a conductor 90 (Figures 7, 8) which governs duplicate circuits to the clutches C.8a', C.8a", C.8a"'.

The negative pole of the clutch 0.8a is-connected with the source ZZ, through the wire s. The negative poles of the clutches C.8a", C.8a", 0.8", 0.8", are connected with the wire dsleading over the lower bridge at the relay 0.19 to the source ZZ. The transfer members and apperti- When the calculating unit is at zero,'the wires both do and dd leading to the clutches 0.8a, 0.8a", C.8a', are'energized. Thewire da is closed on the wire s+ leading from the source ZZ, at the bridge 92, and the wire da, is closed on the wire s+ at the bridge 92 The terminals of wire do are in such position relatively to the a positive contact bands 36a, 36a, 3611" which extend through 36, that if a clutch 0.8a, C.8a", C.8a', be displaced from zero in direction opposite to clockwise, as in the addition of positive quantities, a quantity is borrowed throughout ascending orders of the circuit controller at shaft 58a, and the armature 63a (Figures 7, 8) is displaced 36 in direction opposite to clockwise.

The terminals of the wire da are in such position relative to the positive contact bands 38a, 38a", 3811", which extend through 36, that if a clutch 0.8a, 0.8a", C.8a"' be displaced from zero in clockwise direction, as in the subtraction of a positive quantity, a quantity is borrowed throughout ascending orders at shaft 58a and the armature 63a is displaced 36 in clockwise direction, (clockwise movement in Figure 8 being towards the left, because of viewpoint).

, So long as operations remain within the zone of positive quantities, the armature 63a, displaced in direction opposite to clockwise, closes circuit from the wire 3* through the conductor 90, carried by the armature 63a, to the Wire (1. So long as operations be within the zone of negative quantities, the armature 63a, displaced in clockwise direction, closes circuit from the wire s+ throimh the conductor 96, to the wire d.

When the wire at is closed by the conductor 90, circuit is completed to the relay (3.25, the

nent elements at shaft 58a may collectively be I termed the circuit controller.

When the calculating unit (Figure 7) is in zero position, the clutches C.8", C.8"' of the accumulator, are in open circuit, the circuit of the wire d leading to the positive contact bands 36", 36'", being broken at the bridge 92", and the circuit of the wire d to the positive contact bands 38", 38" being broken at the bridge 92*. 'The clutches (3.8", 0.8", may then be displaced from zero in either direction without borrowing and thereby displac-. ing higher orders. The contact bands 36", 36", 38", 38", extend each through 36 of arc.

negative pole of which is connected through the wire sback to the source ZZ. The relay 0.25 so energized retracts the plunger 8! common to the relay (7.25, and closes at the bridge 92 circuit through an extension of the wire (2 to the clutches 0.8", 0.8", the contact bands 36", 36" at which are so placed relatively to the terminals of the wire d, that the coils (3.8", C.8"- are energized at each tenth step displacement clockwise in every revolution, and at such tenth step displacement additively transmits a positive carryover. At each first-step displacement in opposite direction within the zone of positive quantitles the clutches Q8, 0.8", borrow. So long as operation remains within the zone of positive quantities, the wire d is active.

When the wire 11' is closed by the conductor 90, circuit is completed to the relay 0.25, the negative pole of which is connected through the wire sback to the source ZZ. The relay 0.25 so energized retracts the common plunger 9|; and closes at the bridge 92 circuit through an extension of the wire d to the clutches (2.8", 0.8", the contact bands 38", 38'" at which, are placed relatively to the terminals of the wire d, that the clutches 0.8", 0.8", are energized at every tenth step displacement in every revolution opposite to clockwise, and at such tenth step the operation remains within the zone of positive quantities, borrow while the clutches CJ, CJ are additively transmitting positive carry-over; and transmit carry-over, while the clutches CJ", CJ', borrow.

When the wire 11' is active, circuit is broken at the bridge 92' from the wire s+ to the wire do, which remains open, and is closed at the bridge 22 from the wire d through the wire do to the clutches C.8a', C.la", C.8a"', which so long as the operation remains within the zone 01' negative quantities borrow while the clutches CI", 0.8" are additively transmitting negative carry-over; and transmit carry-over, while the clutches C.8", C.8" borrow.

A first unit displacement as the calculating unit passes from zero position, into either positive or negative quantities, causes borrowing, as above described, at the circuit controller clutches Clo, 0.8a", C.8a"', which displaces the armature 83a. Conversely, as the calculating unit returns to zero position, through either positive or negative quantities, the last step displacement of a clutch 0.8a, 0.8a", Cja', causes a carryover to be transmitted to the armature 63a, which is thereby restored to normal position, throwing the wires d, d, and the clutches 0.8", C.8"' again into open circuit; and permitting the bridges 9|, 9P again to close circuit from the wire st through the wires both do and do, leading to the dual contact series 36a, 38a at clutches 0.8a, 0.8a", C.8a'.

The dividend having been set up at the accumulator SI, SI", SI (Figure 1), the divisor is set up at the levers I', I, I'. Assume the operation 598+26=23. In Figures 19, 20, 21, presently explained, means are provided whereby the divisor 26 may be set up at the levers I, I" corresponding to tens and units, the operation then being automatically shifted so as to cause the divisor to operate first upon the hundreds and tens orders of the dividend. To like eifect, in order that the divisor 26 first operate upon the hundreds and tens orders of the dividend 598, the divisor 26, for purposes of present illustration, may be manually set up, at the levers I, I, (Figure 2) the disks l, being shown in Figures 4 and 5, in position to accommodate the operation.

The lever I is deflected so as to close on the I wire b (Figure 2); and the lever I" is deflected so as to close on the wire b.

+ or according to the positive or negative quality or the divisor, irrespective of the quality of the dividend which conceivably may be unknown; and the push-button P3 is depressed, imparting to the relays Q2, Q2", (Figure 1) an initial impulse through the wire g closed at the wheel Ii by a conductor of the series 86 (Figure 3).

Displacement of the master switch I (Figure 2) as above specified, closes at the contact plate 9 circuit of the wire s" from the source ZZ (Figure 1) to the wire it (Figures 2, 1) leading through a conductor of series 89 at the wheel I6 (Figures 1, 3) over the bridge 94 when raised, at the relay C.III, and over the bridge 98 or the bridge 9! at the relay C.I I, to the clutch either 0.50 or 0.5, according to the positive or negative quality of the dividend which may be unknown. The wire it also closes circuit at the'bridges N, 93, when raised, to the relay C.Il, which it may hold in stick; and at the bridge 96 raised, may

close circuit to the negative pole of the relay C." (Figure 2) which is operative in developing the quotient, as presently described.

Closed by the master switch I at the contact plate III (Figure 2) is the wire 12 leading from a comparator (Figure 13) presently described, to the wire dp (Figure 1) which may impart initial impulse to the relay C.III.

Closed by the master switch at the contact plate I2 (Figure 2) is circuit from the source ZZ through the wire s+ to the wire a (Figures 2, 1) leading, as in addition and subtraction, to the timing arm I8 (Figures 1, 9) and to the relay C23, and clutch C.2I (Figure 1).

Closed likewise by the master switch I, at contact plate I2 (Figure 2) is circuit from the wire st to the wire a: (Figures 2, l), which leads through the conductors 88 (Figures 1, 3) to the clutch C26 (Figure 1); and closed at the contact plate I2 is circuit through the wire 0 (Figures 2, l).

The push-button P.3 (Figure 2), when depressed, closes at the bridge 32" carried by its plunger, circuit to the solenoid 0.28", which is in the circuit of the wire sand of the wire 11; and holds the push-button P3 in depressed position, until division be completed, current to the solenoid C.28' then being broken as the wire 1! is thrown into open circuit at the conductor 4| (Figure 5). The push-button R3 is then restored to normal position by the spring 8.34" (Figure 2).

Depression of the push-button P3 imparts through wire 9 initial impulse to the relays 0.2, C1", and the clutch C.2I which rotates the disk I6. An operation in the nature of subtraction follows, after which it becomes necessary to determine whether the remainder be less than the divisor, or whether further subtraction may follow at the higher columns. This is accomplished by means of a comparator (Figure 13) which may now be described.

The accumulator arms BI, 6|", GI (Figure 1) carry, each at its extremity two terminals, the terminals 231', 231", 231" (Figure '7) closing circuits to the recording mechanism and the terminals H9, H9", IIS (Figures 1, 13) closing circuits of the comparator, wherein current flows from the negative pole of the source ZZ (Figures 1, 13) through the wire s-, to a fixed terminal 1' which floats on a revolving conductor I I8 attached to the base of the accumulator arm GI and thence to the terminal II! fixed at the other extremity of the accumulator arm GI. The terminal H9 may close circuit according to the angular position of the accumulator arm iI' on any one of the contacts I20- I2II, which are wired respectively to correspond- I ing terminals I2I-I20 at the sector I22.

The sector I22 and the sectors I22", I22' fixed respectively to the shafts 3', 3", 3" (Figures 2, 11, 13) of the levers I, I", I', are similar in construction and in purpose. Each carries an isolated contact such as I23 (Figure 11), closed in normal position upon the terminal I2I and capable of engaging the other terminals I2I-I2I when the sector I22 is displaced by the lever I. The sector I22 carries also a conductor I24 closing, when in normal position, on the terminals I2I-I2I.

When the lever I (Figures 1, 11) is deflected, the position of the isolated contact I23, relatively to the terminals I2I-I2I, corresponds to the b wire selected as a numeral of the divisor, at the lever I Assuming that the divisor be 26,

nieral of a dividend or remainder were greater than the first numeral 2 of the divisor, for example, 3; the accumulator arm BI would close circuit at the contact I20 through the wire to the terminal I2 I to the conductor I24, whence the current is short-circuited, through the wires 2), v, dp, closed by the master switch I at the contact plate I0, to the relay C.I0, and clutch 6.511.; and a subtraction follows, a single excess unit in the dividend or remainder at a higher denominational order, being greater than any possible divisor at all columns therebelow.

If the first numeral of the dividend or remainder were less than the first numeral of the divisor, for example, 1; then the circuit closed by the accumulator arm GI (Figure 13) at the contact I, through the wire p, to the terminal I 2 I would connect neither with the isolated contact I23 nor with the conductor I24; no current would flow through the accumulator arm SI to the relay C.I0, and clutch CM; and the shafts 58, 58a are not revolved.

If again, the first numeral in the dividend or remainder were equal to the first numeral'of the divisor, to wit 2, current would fiow from the source ZZ, through the wire s, the terminal I H, the conductor I I8, the accumulator arm a l the terminal M9, the contact HIV, the wire 3 to the terminal 12F, and through the isolated contact I23 over the wire 12 to the conductor i it, the accumulator arm GI and the terminal H9". If the second numeral of the dividend or the remainder be greater than the second numeral of the divisor; circuitis closed by the accumulator arm SI" through a wire q-q onto the conductor I" at the sector I22", whence current flows through the wires 1), 1), zip, to the relay C.I0 and clutch 0.5a. If the second numeral oi the dividend or the remainder be less than the second numeral of the divisor; circuit is closed neither on the isolated contact 123 nor the conductor I24", and current fails. ond numerals of the dividend and the divisor be equal, circuit is closed through the isolated contact I23" over the wire t" to the terminal 1', the conductor 8', the accumulator arm BI, to the terminal II9, at the lowest order;

where again, the numeral of the dividend or remainder may be larger than the corresponding numeral of a divisor and circuit be closed, on the conductor I2l, in which event, current flows through the wires 11, v, dp, to the relay C.I0, and the clutch 0.5a. Should the numeral of the dividend or remainder be smaller than a corresponding numeral of a divisor, here again, circuit would close on -neither the conductor I24""nor on the isolated contac? I23' and current to the relay CJII, and the clutch C.5a, would fail.

Be it assumed, however, that the numeral of the dividend or remainder reflected at the accumulator 6I be equal to the corresponding numeral 01 the divisor. Current would then flow through the isolated contact I23, the wire t",

'the'wire v, COntflCt plate I0 (Figures 3, 13), wire dp (Figures 3, 1, 13) to the negative poles of the relay C.I0 and clutch 0.5a.

If the sec- The positive pole of the relay C.I0 (Figure 1) is connected through the wires s+ with the source ZZ. When circuit be completed to the relay C.I0 over the wires 1:, tip, from any order of the comparator (Figure 13), the relay C.I0 retracts its plunger, closing, thereby, over bridge 89 at the relay 0., circuit of the wire dp to the negative pole of the clutch 0.5a whose positive pole is connected through circuit of the wire h, already traced, back to the source ZZ ,(Figure 1). A subtraction of the divisor from the dividend or the remainder follows, in manner hereinbefore described.

The current from the comparator (Figure 13) through the wires 1:, zip (Figures 13, 1) imparts only an initial impulse to the relay C.I0; since circuit through the wires v, dp, is forthwith broken, as the accumulator arms SI, SI, GI,

are displaced. The action of the relay C.I0, and clutch 0.5a is however sustained by circuit through the wire 11, which is closed at the bridges 93, 94, when the relay C.I0 retracts its plunger. This circuit originates at the source ZZ (Figure 1) and passes through the wire s (Figures 1, 2), the contact 9 at the master switch I (Figure 3) the wire u (Figures 2, 1), a conductor of the series 89 at the wheel 16 (Figures 1, 3) the bridges 94, 93 (Figure l), the relay C.I0, and thence through the wire 3+ back to the source 22. The extension of the wire it which leads from the bridge 94 over the bridge 99 at the relay C.I I, sustains circuit to the clutch C.5a.

Returning to the operation 598+26, the initial position of the accumulator arms SI, SI, 6I (Figure 13) after the dividend has been set up, is such that they close circuits respectively at the contacts i20 to the terminal I2I contact i26 to the terminal I 21 and contact I28 to the terminal I29 The numerals of the divisor 26 are reflected respectively in the positions of the sectors I22, I22, which cause the isolated contact I23 to close on the terminal HP, and the isolated contact I23 to close on the terminal i21 Since the terminal I2I is closed on the conductor I24, current is short-circuited to the relay C.I0, and clutch C.5a. The remainder, after the first subtraction, is 338, the accumulator arms BI, 6|", SI now closing on the contacts I20 I26 I28 The first two numerals 33 of the remainder permit of subtraction by the divisor 26; and current being again shortseries BI (Figure 3),

circuited, at the conductor I24 to the relay C.I0, and clutch 0.5a, a second subtraction follows, as circuit is again closed, through the wire g at a conductor 86 (Figure 3) to the relays Q2, 0.2 (Figure 1).

In these successive operations, movement of the timing arm I8 is maintained until it reaches a neutral point between two series of b terminals (Figure 9) by circuit of the wire a to the relay C.2I (Figure 1) closed by conductors of the as in operations of addition and subtraction.

At the termination of the second subtraction the quantity in the first order of the divisor is. exhausted; a first numeral 2 being developed in the quotient, to be reflected as presently 'described. The remainder is reduced to 78; and the accumulator arm 6| closes circuit at the contact I20 to the terminal I2I, where circuit is completed neither to the isolated contact I23 which remains closed on the terminal I2I nor to the conductor I24. Current to the relay C.I0 and clutch 0.5a thus Tails; and subtraction must be shiftedto lower denominational orders.

The are of the conductors 89 (Figure 3) is such, that the circuit through the wire u which sustains the relay C.I0, and clutch 0.5a (Figure 1) following an initial impulse, through the wires 1), zip, is interrupted during the passage of the arm 18 from the terminals of the wire b (Figure 9) to a neutral position between series; permitting, thereby, the relay C.I (Figure 1) to release its plunger, between successive subtractions, unless the accumulator arms SI, SI", GI (Figure 13) have, in the meantime, been arrested at contacts which again close circuit to the relay 0.) through the wires 11, dp. If at the termination of a subtraction, the remainder permits of further subtraction at the same columns, circuit remains closed to the relay 0.), through the wires 1), dp. If the remainder does not permit of further subtraction at these columns, the plunger of the relay CJO is released,

and closes at bridge 96 (Figure 1), circuit to the negative pole of the clutch 0.26. As the arm I8 passes from a terminal of the wire b to a neutral position between series, circuit is closed by a conductor of series 88 (Figure 3) through the wire .1: (Figures 2, 1) already traced, to the positive pole of the clutch 0.25 (Figure 1) completing, if the plunger of the relay 0.) be relased, circuit to the clutch C16. So energized, the clutch 0.26 clutches the transmitter. 40 and shifts, the circuits of the c and e wires to the relays of lower orders and permits, thereby, the divisor established at the levers I, I", in the present demonstration, to operate respectively, on the tens and units orders of the mechanism,

having passed from the hundreds and the tens;

the wires e c to relays C2, C4, being thrown into open circuit at the disk 40 (Figure 4).

The divisor in the present example being 26, and the remainder now being 78, three subtractions are permitted before an eventual second shift of circuits. The remainder '78 is reduced to zero by such three subtractions; and 3 appears as the last numeral in the quotient consistently with the equation 598+26=23. As all the accumulator arms 6|, 61, BI (Figure 13) are then at zero, current to the relay (LII! and clutch 0.5a fails. Since, however, circuit remains closed at the conductor 4| (Figure 5) through the wire 1! to the solenoid C.28" (Figure 2), the pushbutton' PJ, maintains current to the wire 0,

which continues to impart initial impulse to the clutch C.2I (Figure 1); and the wheel I6 revolving provokes further shifts oi the c, e, circuits downwards to lower orders, at the transmitter ll. The first of such said concluding shifts throws the wires 0'', e" to the relays C.2, CA" into open circuit at the disk II) (Figure .4); and the second shift throws into open circuit the wires 0", e' to the clutches 0.2, 0.4". The disk 40 (Figure 5) is then in position at which the wires 1 and ,7 become inactive, and the conductor 43 (Figure 5) is carried to the fixed terminals N and closes circuit to the clutch 0.26, through the wire s+ from the source ZZ, the negative pole of the clutch 0.26, as hereinbefore described, being""'connected with the source ZZ through the wire s". The clutch 0.26 so energizied, clutches and rotates the transmitter 40 onwards to zero position, the conductor 43 being of such arc that when said transmitter reaches zero position, circuit to the clutch 0.25 i'ails.

To provide for dividends not exactly divisible by their divisors, lower orders may be provided, as disclosed in Figures 19, 20, 21, which carry the quotient into decimal fractions: before circuits through the c, e wires finally may fail. Such lower orders may be substantially similar to the hundreds, tens and units orders shown in Figure 1, the tenths order transmitting carry-over to the units order through mechanism similar to that hereinbeiore described.

When the transmitter 40 (Figure 1) switches the c, e wires downward onto CA, 0.2 relays of lower orders, it is necessary to shift progressively the p, q, r wires of the comparator (Figure 13) upwards to connections at the levers where the divisor is established, in the present example, to connections at the levers I, I" (Figure 2): in order that the remainder '78, in the present example, reflected after the first partial operations by the accumulator arms 6|, GI (Figure 13) may be compared with the divisor 26, still reilected at the sectors I22, I22". The wires p-p leading from the accumulator arm GI are accordingly, switched into open circuit, the wires qq leading from the accumulator arm GI are switched to the terminals I2I-I2I at the lever I, and the wires r-r leading from the accumulator 5 I are switched to the terminals I2'l-I2'I at the lever I". This is accomplished by means of conductors carried on the disks 40 40 40*, shown in Figures 1 and 14, these disks 40 40 40 in view to clearness, not being shown in Figure 13.

Referring to Figure 14, the wires gu -p are'represented as severally carried in the cable pp from the contacts I-I2Ii, at the accumulator arm BI, to the fixed bench I at the disk 40, where they close respectively on the conductors I5I-I5I, which in turn close circuit through terminals carried by the fixed bench I30 to the terminals I2 I -I2 I at the lever I, the extensions of the wires p-p being shown as carried in the cable pp. The wires q-q are similarly represented as carried in the cable qq from the contacts I26-I26 at the accumulator arm GI to the fixed bench I35, at the disk 40 where they close respectively on the conductors ISM-I52 which, in turn, close circuit through terminals carried by the fixed bench I, to the terminals I21 -I2I at the lever I", the extension oi. the wires qq being shown as carried in the cable qq. The wires r-r are similarly represented, as carried from the contacts I28-I28 at the accumulator arm GI in the cable T1, to the fixed bench I at the disk where they close, respectively, on the conductors I53-I53, which, inturn, close circuit, through terminals carried by the fixed bench I4 I to the terminals I 29-I 29 at the lever I"', the extension of the wires r-1*' being shown as carried in the cable rr'.

The wire sis shown in Figure 14 as extending from the source ZZ to a fixed terminal I32 at the diskJO. Fixed to the sleeve of the transmitter l0 and rotating with the disk 40 is the conductor I 3| (Figures 1, 14) which in normal position closes circuit between the fixed terminals I32 (Figure 14) and a fixed terminal I32. An extension of the wire scarries current to the conductor I I8 at the accumulator arm 6 I which closes circuit as hereintofore described, on the wires p-p' (Figure 13).

Assume, for example, that the accumulator arm BI is closed on the contact I2!) (Figure 13) that the isolated contact I23 were opposite the terrsnlinal I 2I and that the accumulator arms GI", Current originating at the source ZZ (Figure 14) would then flow through the wire 3*, the fixed terminal I32, conductor I3I to the fixed terminal and the levers I", I were all at zero,

terminals I21 -I21 at the lever I.-

I32, extension of the wire r, conductor II8, accumulator arm 6|, contact I" (Figure 13) wire p carried in the cable pp (Figure 14) to the terminal of the wire p" at the fixed bench I30, through the conductor I5I to. the extension at bench I of the wire p carried in the cable pp to the terminal I2 I (Figure 13) closed on the isolated contact I23 at the sector I22. Current would then fiow through the wire it to the fixed terminal I38 at the disk 40 (Figure 14) through the conductor I31 (Figure 14) which revolves with the transmitter and disk 40 to the fixed terminals I38, and thence through an extension of the wire t to the conductor H8, through accumulator arm 6|, the contact I26 (Figure 13) the wire q, carried in the cable qq (Figure 14) to the fixed bench I at disk the conductor I52" to the extension of the wire q leading from the fixed bench I35 and carried in the cable qq to ,thelterminal I21 (Figure 13), which is closed on the isolated contact I23: thence through the wire 22" (Figure 14) to the fixed terminal I at disk 40, the conductor I44 (Figure 14) which is fixed to and revolves with the transmitter and the disk 40, the fixed terminal I45, an extension of the wire t, conductor '3', accumulator arm 6I, contact I20 (Figure 13), the wire 1 carried 'by the cable rr to the fixed bench I (Figure 14) at disk 40*, the conductor I53 to an extension of the wire r leading from the fixed bench HI and carried in cable 11', to the terminal I29 (Figure 13), which closes on the isolated contact I23; whence current flows through the wires t, 1), contact plate I0, at the master switch 1, and the wire dp, to

the relay Cl I0, and thence through the wire s+ back to the source ZZ (Figures 1, 14, 25).

When a remainder is reached in the upper carried in the cableqq; and, at the benches I36,

I36, switches these wires p-p through the conductors I52,-I52 tothe extensions of the wires p p leading from the fixed bench I36 and shown as carried in the successive cables pq, pp

Simito the terminals I2I-I2I at the lever I. larly the disk 40 is revolved, breaking at the fixed bench I4I circuits of the wires r-r carried in the cable rr, and switching at the fixed benches I42, the circuits of I42 the wires r-r, through'the conductors ISM-I53 to the extensions of the wires r-r leading from the fixed bench I42,

and shown as carried in the cables qr, qq, to the Simultaneously with shift of circuits through the p, q and r wires, the circuit of the wire 8- (Figure 14) extended to the accumulator arm 6I is broken at disk 40 by the revolving conductor m, at the fixed terminals 132, m', and is closed by the revolving conductor I31 at the disk 46, through the fixed, terminals I39, I39, to the extension of the wire t leading to the accumu-t into open-circuit, at the fixed terminal I45, but 75,

the disk 40 revolving, carries the contact plate I59 attached to the periphery of the disk 40 to the fixed terminals- I60 and closes circuit from the wire t to the wire vt" leading to the wire 1), whence it extends through the contact plate I0 and the wire dp, to the relay C.I0. Since the wires r-r have been shifted from the terminals I2!I-I29 at the lever I, the wire t is now in open circuit.

A second shift of circuits by the transmitter 40 when the remainder is again reduced to a quantity less than the divisor, switches the wires q-q. leading from the contacts I26-I26 (Figure 13) into open circuit; and wires r-r from con tacts I28-I28 at the accumulator arm 6I,

from the bench I42 (Figure 14) to the bench I43,-

whence circuit is closed through'the conductors I53-I53 to the bench I43, and extensions of the wires r94 carried by the cables pr and connecting with the wires carried by the cables pq, pp, leading to the terminals I2I-I2I at the lever I'. Circuit through the wire t is broken at the fixed terminal I46 at the disk 40. Circuit through the wire s-, is broken at the fixed terminal I39 at the disk 40 and is closed at the=disk 40, through the fixed terminals I41, I41 by the conductor I44, to the extension of the wire t leading to the accumulator arm 6I. Circuit through the section of the wire t which leads from the isolated terminal I23 is broken at the terminals I60; and the contact plate I6I fixed to the periphery of the disk 40 advancing, closes at terminals I62, circuit from the lower section of the wire t to the wires vt, v, dp to the relay C.I0 (Figures 1, 14).

It has been assumed that the quantity in the highest order of the dividend or remainder, is reduced to zero, before circuits are shifted by the transmitter 40 (Figure 1). An exhausted remainder may, however, remain in such highest order or subsequent highest orders, after a shift of circuits; and must be subject to the subtractions which ensue. Provision for such contingency, now will be described;

At the first shift of circuits by the transmitter 40 (Figure 14), circuit through the wire 3- is broken at the fixed terminal I32, disk 40*, but is switched by the conductor I 3I at the fixed terminals I33, I33, to an extension as leading to a terminal at which circuitunay be closed by the relay 0.34. The disk 40 revolving, carries the contact plate I55 attached td -the periphery of the-disk 40 to the terminals I56 and closes circuit from the wire as, to the extension of the wire sleading to the accumulator arm 6|; as circuit to this extension of the wire '3- is broken at the terminals I32, I32 and the circuits of the wires p -p are broken at the bench I30. The negative pole of the relay 0.34 is connected with the contact I20 (Figures 13, 14) its positive pole with the wire' s+ Figure 14). The circuit so closed originates at the source ZZ and passes through the wire s-, the conductor I3I, the wire,

as, the contact plate I55, extension of the wire -s, conductor I I9, the accumulator arm 6I', contact I20, the relay 0.34, and thence through the wire s+ back to the source ZZ. Ii, when circuit be shifted by thetmnsmitter 40 (Figure 1), the accumulator arm 6i be at zero, circuit is completed to the-relay C.34 (Figure 14) which retracting its plunger breaks, at the bridge thereto attached, circuit with the terminal of 'wire as.

If, on the contrary, a. numeral exist in the highest order of the remainder, after shift of the divisor to lower decimal orders, and the accumue lator arm 6i does not close circuit at the contact I20 to the relay CM; the plunger thereoi remains released, and closes circuit at its bridge, through the wire av to the wire 17, and thence through the wire dp to the relay C.I0, as already traced. The current so passing through the wires av, 12, dp, sustains the relay C.III, and prevents a further shift of circuits by the transmitter 40 (Figure 1), until subtraction of the divisor from the remainder, reduces to zero the numeral in the highest order of the remainder and carries the accumulator arm GI back to zero.

The circuit which may be so closed by the relay C34 originates at the source ZZ (Figure 14); and passes through the wire s; as already traced, the bridge at; the plunger of the relay (3.34, the wires av, v, dp, already traced, to the relay C.III and then through the wires 3+ back to the source ZZ.

If the accumulator arm SI", at the next lower order, were to reflect a numeral in the remainder, after shift of circuits to orders therebelow; the wire as" closed at the terminals III), I40 (Figure 14), would in similar manner, operate upon the relay C34", when at the second shift of circuits by the transmitter 40, the contact I59 carried at its periphery by the disk closes, at the terminals I58, circuit to the accumulator arm SI" through the wires as" and the extension of the wire t'.. So long as the accumulator arm SI were not restored to zero position by subtraction of the divisor from the remainder, circuit would be closed at the bridge depressed on the plunger of the relay 0.34"; and current would flow from the wires as", av", through the wires v, (in, to the relay C.II; and this circuit would be broken only when the accumulator arm Si" is restored to zero, where it closes circuit to the relay 34".

Division of a negative quantity If the dividend reflected by the accumulator arms 6|, 6|", GI' (Figure 2) be a negative quantity, the direction of their movement must be clockwise, in response to the subtractions of the divisor, which ensue. This is automatically accomplished through the relays C.I I, C.I2 (Figure 1), as now will bedescribed.

In division, the wire dr being inactive, the plunger of the relay C.I2 is released; and may close, at the bridge IIlI (Figure l) thereto attached, circuit through. the wire d; to the relay C.I I. When the dividend is positive, circuit through the wire d is open at the conductor 90 (Figures 7, 8), as hereinbefore described; and the plunger of the relay 0. (Figure 1) being released, current flows through the wires dp and u over the bridge 99 at the relay C.I I to the clutch C.5a, resulting in subtraction at the accumulator arms SI, SI", GI', in direction opposite to clockwise. When the quantity constituting the dividend is negative, circuit is closed at the conductor 90 as hereinbefore described, through the wire d, already traced, over the bridge IUI at the relay C.I2, to the positive pole of the relay C.I I, the negative pole whereof, as hereintoiore described, being connected, through the wire r, back to the source ZZ. The relay C. so energized retracts its plunger, breaking at'the bridge 99 the circuits of the wires dp, u to the clutch 0.5a and switches, at the brid e 98, the circuits of the wires dp, u to the clutch C.5. clockwise direction is thereby transmitted to the accumulator arms 6|, 6|", IiI, and to the clutches 0.8", 0.8" at which the action or trans- Motion in ier mechanism, hereintofore described, permits of operation at first step transfer exactly similar to the subtractions of the divisor from a positive dividend, save that the motion of the accumulator arms SI, SI", 6I' is reversed.

The dividend and remainders being negative quantities, the angular step displacement or the accumulator arms SI, SI, SI, must now read from zero to the left, in order to permit the comparator (Figure 13) correctly to determine when the remainders are reduced-to less than the divisor; and shift of circuits be duly effected by the transmitter 40 (Figure 1). This is accomplished by means of the relay 0.24 (Figures 1, 12), which is provided with a trifurcated plunger with bridges attached to each of its three branches. Extending from the contacts I28-I2l at the accumulator arm SI' to the terminals at the left branch of the relay C14, are the wires r-r (Figure 13) shown (Figure 1) as carried in the cable rr. The wires q'-q (Figure 13) shown as carried in the cable qq (Figure 1) are similarly extended from their contacts I26'-I26 (Figure 13) at the accumulator arm 6|, to terminals at the middle branch of the coil C. (Figure 1); and the wires pp (Figure 13) carried in the cable pp (Figure 1) are shown as extended from the contacts I20'I20 (Figure 13) at the accumulator arm GI to terminals at the right branch of the relay 0.24 (Figure 1) At the opposite sides of the several branches, are terminals from which the p, q and 1' wires are extended through the transmitter 40 (Figure 1), to their respective terminals at the sectors I22, I22", I22 (Figures 2, 13). The wires 11, q, r extend to the terminals I2I, I21", I29 without I passing over bridges of the relay 0.24.

The relay 0.24 (Figure'l) is in the circuit of the wire d already traced, its negative pole being connected through the wire s back to the source ZZ. When, as already explained, the dividend is a positive quantity, circuit is not closed by the switch 98 (Figure 16) on the wire d; and the relay C. accordingly is not energized. When, on the other hand, the dividend be negative, circuit is closed through the wire (1'; and the plunger of the relay C. is retracted. Th operation may be followed in Figure 12', in which, with a view to clearness, connections at the transmitter 40 (Figure 1) are not shown. When the dividend is a positive quantity and the plunger of the relay C. (Figure 12) isnot retracted; circuit may be closed from the contacts HIV-420 for example, by the accumulator arm 6 I through the wires p'-p respectively, over the bridges carriedby the right branch of the plunger of the relay 0.24 to the terminals I2I'---I29 opposite the sector I22 at the lever I. When the dividend is negative and the wire 11' active, the plunger of the relay 0.24 is retracted: the circuits from the contacts I2fl'-I2IJ closed by the accumulator arm 6| are transposed, and the wires p'-p of complementary ordinal number are switched to the terminals I2I'-I2I The circuit of the wire 12 remains connected with the terminal I2I. The circuit from thecontact I20 to the terminal I2I for example, is broken at the lowest bridge on the right branch of the relay C24, and closed at the highest bridge thereon, to the terminal I 2| Circuit from the contact I2I'I is similarly switched from the terminal I2", to the terminal I2'I'. The operation is similar at all branches of the plunger; and the circuits through all the p, q, 1' wires are simultaneously switched to their respective complementary terminals at the sectors I22,

122", I22"'. The comparator (Figures 12, i3, 14) is then in a condition to determine when, in division of negative quantities, the remainder is reduced to a quantity less than the divisor.

The quotient The quotient is reflected at the quotient arms 21', 21", 21" (Figure 2) corresponding respecttively to hundreds, tens and units and rotated' through the action of the solenoids C.3l', CM", 0.81". The relay 0.30 (Figure 2) is in a circuit which originates at the source ZZ and passes through the wire s- (Figures 1, 2) contact plate 9 at the master switch-1, the wireu, already traced,- over the bridge 96 when raised at .the relay C19, the relay 0.30, the wire (Figures 2, 1), the bridge 95 when raised at the relay CAO (Figure 1), a conductor of series 96 at wheel (Figure 3), the highest bridge at the push-button P. 3 (Figure 2), and through the wire s+ (Figures 2, 1) back to the source ZZ (Figure 1).

When the push-button P.9 (Figure 2) is depressed at the beginning of division, assuming that the divisor be not greater thanthe dividend and that circuit be not broken at the bridges of the relay 0.") (Figure 1), circuit is closed on the relay 0.30 (Figure 2') which completes through the bridge thereon, circuit through an extension of the wire u, already traced, to the negative pole of the solenoid C.-3l' (Figure 2), the positive pole whereof is connected with an extension of the wire 0', already traced, which is closed at the lower bridge of the relay C29, and contact 42 at disk (Figure 5) of the transmitter 49 (Figure 1). The solenoid 0.3! (Figure 2) so energized retracts its plunger which terminates at its upper extremity in a latch 24' operative on the teeth of a disk 26' mounted on a shaft 26 in common with an arm 21', corresponding in the present specification to the hundreds order of a quotient. The arms 21", 21" corresponding respectively, to the tens and units orders, are exactly similar in operation and construction to the arm 21'. The arm 21', according to its angular deflection, closes circuit to a series or contacts 29- 29 (Figures 2, 17) placed in circular position rela .tively to the axis of the arm 21".

In normal position the quotient arm 21' (Fig ures 2, 17) closes circuit on the contact 29. De-

pression of the push-button P3 transmits current to the relay (3.30, which retracts its plunger and energizes the solenoid C .3l'. The solenoid C.3l retracts its plunger and rotates the arm 21' a single step, into position where it closes circuit at the contact 29', signalizing a first possible subtraction of the divisor from the dividend, at its hundreds order and a unit in the hundreds order of the quotient. As the wheel 19 (Figure 1) revolving, closes at the beginning of each subsequent subtraction, circuit through the wire g, at successive conductors 86 (Figure 3), the arm 21' (Figure 2) is progressively advanced by the solenoid 0.3! at the contacts 2949" (Figure 17), until the remainder at the upper order is reduced to less than the divisor and the transmitter 46 (Figure 1) shifts the operation to lower decimal orders, as hereinbefore explained. When circuits are so shifted by the transmitter 40 (Figure 1) the relay 0.29" (Figure 2) and over the lower bridge thereof to the solenoid CJI", which in manner similar to that of the solenoid CJI, op-

crates upon the arm 21", causing the arm 21" to close progressively on the contacts 3040,

corresponding to numerals oi the quotient in the order of the tens. If, when circuits be so shifted, the remainder still be less than the divisor, and accordingly, no current flows through the comparator (Figure 13) to the relay CAO; the circuit of the wire it remains open at the bridge 99 (Figure 1) to the relay 0.39 (Figure 2) and thence to the solenoid 0.3V. The arm 21", will remain, therefore, closed on the contact 30", refleeting a zero in the quotient. The next shift of circuits by the transmitter 40 (Figure 1) breaks, at the disk 40 circuit through the contact 42 (Figure5) over the wire 0" to the relays 0.29", CM", and closes circuit through the wire 0" to the relay 0.29" and solenoid C.3l"'. The solenoid C.3l"' develops, in manner similar to that of the solenoids C.3l', C.3l" the numeral of the quotient in the units order, by advancing the arm 21' progressively at the contacts 3W4". The wires leading from contacts 29 -29 at the quotientarm 21' are shown as carried in the cable Pff (Figure 17). Wires extend from similar contacts at the respective quotient arms 21", 21' (Figure 2); and are carriedinsimilar cables. The wires on which circuit be so closed correspond to the numerals of the quotient which they may cause to be recorded by appropriate mechanism. Should it happen, at the beginning of an operation, that the divisor be greater than the higher orders of the dividend; circuit would be broken at the comparator (Figure 13) to the relay CA9. Circuit to the relay 0.39 would re main open, and the depression of the push-button P3, would operate no immediate displace merit of an arm 21, 21", 21". Shift of circuits would however, be effected, by the transmitter 40 (Figure 1) in manner hereinbefore disclosed; and the operation of division be performed at lower orders,

The positive or negative quality of the quotient is distinguished, through the action of the relays C.i6, Cll, C.ll' (Figure 1). The relay C16 is in a circuit which originates at the source ZZ,

and passes through the wire s, contact plate 9 at the master switch I, and the wire (in to the relay CA6, and thence through the wire s+ back to the source ZZ. When the divisor is positive, a negative current is closed ,on the wire i, by the master switch I (Figure 2), at the contact plate 9. When the divisor is negative, a positive cur-' rent is closed by the master switch 1, on the wire i at the contact'plate l2. The wire 2 passes over the bridges 209, 2), depressed, to a pole of the relay 'CJ 1. The other pole of the relay C." is connected with a wire dn, which leads from the bridge 91 fixed to the upper extremity of the relay C.| I, over the bridge 2| I closed at the relay C.l6. When the dividend is positive, the wire (1' is inactive, as hereintofore explained; and the plunger of the relay C, is released. A negative current is then closed at the bridge 91, through the wire dn' over the bridge 2| l, to the relay C.I I. When the dividend is negative, the wire d is active and the plunger of the relay CJI is retracted, closing at the bridge 91 a positive current from the source ZZ, through the wire s+ and the wire dn' to the relay C.ll. If the dividend and the divisor are of the same quality; the relay C." remains inactive. If the dividend and the divisor are of diilerent qualities a negative current flows to one pole, and a positive current flows to the opposite pole of the ,relay 0., which retracts its plunger upwards; and closes at the bridge 201, a positive current from the source ZZ and the wire s+ to the wire d" leading to the solenoid C. (Figure 18).

Inasmuch as the dividend may be reduced to zero. in the process of division, and eventual current to the relays C.i I, C, C." fall, before the quotient be recorded; the relay C.l|' (Figure 1) is provided, which operating with the relay C." upon a common plunger, holds this common plunger in stick if retracted at the beginning of an operation by the relay (2,". The relay C.ll is in the circuit of the wire dn, already traced, its positive pole being connected through the wire s+ when its plunger is retracted, back to the source ZZ.

Column-shift With view to simplicity in demonstration, division as described in earlier pages has been limited to three orders of whole numbers, and the receiving numbers in which to enter factors have been arbitrarily selected. Means now may be disclosed for extending computation into fractions, with automatic column-shift permitting the factors to be entered at receiving members of corresponding orders. Referring to Figure 19, the mechanism therein shown, since it is predicated on whole numbers and on fractions, provides for initial column-shift to denominationally higher or lower accumulator members preparatory to computation of the quotient and the eventual identification of its denominational recorded value by a decimal point.

Referring to Figure 19, the mechanism operative, in establishing the position of the decimal point and not hereinbefore described, comprises in addition to the accumulator arms II, II", li'", corresponding to hundreds, tens and units, the accumulator arms 8|", Ol', ii", corresponding to tenths, hundredths and thousandths; the electric button II at the master switch I, which closes circuit to the bridges 228 223", IN -224"; the relays CAP-CAI", CIT-CA2, and the armature 40, together with electrical connections. The transmitter 40, previously shown in Figure 1, is shown in Figure 19, as modified to accommodate six accumulator arms and identi fied as a, in which the disk Ila (Figure 22) is substituted for the disk ll (Figure 5). The armature ll (Figures 1 and 19) is active, whether six sections be coupled or only three. The elements of the calculating unit are similar in principle howsoever many denominational orders it may comprise; and further description relating to the six denominational orders now indicated, is accordingly limited to the automatic assignment of resultants to their proper columns, and their operation relatively to the position of the decimal point.

In division, the circuits of the divisor closed at the levers i'-i", are switched upwards or downwards as many orders, as the order occupied by the first significant digit of the dividend be respectively superior or inferior to the column occupied by the first significant digit of the divisor. Quotients are thereby developed in their proper denominationalorders, at corresponding orders.

of the calculating unit; assigning the decimal point thereby to its proper place.

Identification of the highest denominational order of a dividend or divisor, is accomplished by means of the wires hr, c: (Figure 19), leading respectively to bridges at the levers i'-i", and to the accumulator arms li'4l", the circuits of these wires being closed at the master switch 1.

The outer extremity of the master switch I is provided with a button I. when the master switch 1 is advanced to a position the button Ii is momentarily depressed closing and immediately breaking at the terminals 2|, the circuit of the wire sx+ leading from the source ZZ, to various members, as now shall be described.

The circuit of the wire bx closed by the master switch on the wire sz+ is extended over the bridges 228'421", at the levers i'--l supported normally by the cams 4'4". In falling, when their corresponding levers are deflected, the bridges IIT-IZI" respectively close circuit on the wires b:c'-ba:" But only the circuit corresponding to the highest deflected lever becomes active; since the circuit of the wire bx is broken to all bridges therebelow. The circuits bar-bx" so rendered active, identifies the highest order of a divisor. r

The circuits of the wires b:c'-b.1:, extend to serial bridges on the piungers of the relays CAO- CM", and are instrumental, as presently described, in measuring the number of columns at which the first digit of the divisor is separated from the first digit of the dividend, and in effecting corresponding shifts of circuits at the transmitter "a.

The wire or, closed at the master switch 1, leads to the bridges 224424' at the accumulator arms ii'4l" (Figure 19),' operative in similar manner to the accumulator arms I, ll", li', which bridges are normally supported by the cams 222'422' fixed respectively to the sleeves "'40" poles are connected through the wire sr, closed at the master switch 1 over the bridge 34" (Figures 2, 19) at the push-button PJ back to the source 22. The relays CAT-CAI" are operative in closing the circuits of the wires DIV-b2" to wires which effect the required shifts of the divisor by the transmitter 0.

In division, circuits are shifted upwards or downwards, so as to place the divisor under the highest orders of the dividend, in order to efi'ect subtractions, as heretofore described. Each column that the divisor is shifted, modifies, however, the value of the divisor in multiples of ten; and necessitates a corresponding shift of circuits to the quotient solenoids CJP-CJI (Figures 2, 19) to higher or lower orders in order that the quotient may not be falsely diminished or increased.

The circuit of wires o'-o'*, are in division shifted at the relays CIT-0.29", to the solenoids GIN-CM", which operate the quotient arms 21'41' (Figures 2 and 19) as hereinbefore described.

The wireo (Figure 22) closes normally at the disk 4' on the wire 0" corresponding to the units order; and a shift of the divisor upwards any certain number of denominational orders, is accompanied by an equal shift of the o circuit upwards from the units order. Conversely, a shift-cf the divisor downwards, if the divisor be greater than the dividend, would be accompanied by an equal denominational shift of the a circuit downwards from the units order; and a fractional quotient would appear, the modified value of the divisor as so shifted being automatically compensated by the denominational shift of quotient circuits.

In division, as hereintofore explained, the highest order of the dividend is identified by the wire calf-0.1:" (Figure 19) closed at the accumulator arms 6i'-6I The highest order of the leading respectively to the relays 012 042, at which as above described, circuit is closed on the wires ex-ea: to the conductors 226-226 (Figures 19, 20) and the clutch G26.

, Since the relay CAW-CAIIYwhich isenergized, reflects the denominational order in which falls the highest digit of the dividend; and the wire b:l:'--b:c" which is active, reflects the denominational order in which the highest digit of the divisor falls; the circuit closed at the several I bridges at the relays CAM-CAO", may beso wired as to correspond to the number of denominational orders, upwards or downwards, which any certain divisor shall be shifted, to place the first digit of the divisor under the highest denominational order of thedividend.

The extension of the wire dx', for example, leading in a diagonally downward direction from its terminal at the next to the highest bridge of the relay CAO to its terminal at the lowest bridge on the plunger of the relay 0.40", corresponds to an excess of one denominational order in the dividend over the number of orders in the divisor, and, accordingly, to a required one order upwards shift of the divisor. An excess of one order in the dividend occurs, when the wire 02: is active with the wire bx"; the wire or" with the wire or" with bx", or cm with bus.

In similar mannerthe extension of the wire dz diagonally downwards from the highest bridge at the relay CAI" to the lowest bridge at the relay CAO", corresponds to an excess-of one denominational order on the divisor, and to one order required downward shift thereof. Such a downward shift of one order occurs, when the wire caz" is active with thewire bx; cz'" with bx"; car" with bar; ca." with bx"; or 0.1." with bx".

In similar manner the diagonal extensions of the wires dz, dz, dz, dx correspond respectively to a two, three, four and five order excess, in the denominational order of the dividend. and a required two, three, four or five order upward shift of the divisor; whereas the diagonal extensions of the wires dz", 111:, def, dz", correspond, respectively, to a two, three, four and five order excess in the denominationalorders of the divisor, and a required two, three, four or five order shift of the divisor downwards.

At the bridges, beginning with the highest bridge at the relay CAO, and descending diago nally to a possible lowest bridge not shown. at the plunger of the relay CAI". no wire is expathway correspond to an equal number of orders in the dividend and the divisor, and no shift of the divisor is required. If the operation were, for example, 600-:200=3, the wire bx corresponding to the hundreds order, would be closed at the lever I (Figure 20); and the wire cm corresponding to the hundreds order of the accumulator would be closed at the accumulator arm I.

The relay 0.40 would be energized, breaking at its highest bridge the circuit of the wire be." over the highest bridges at the relays CAN-0.40", closing on noother wire. The disk 40a (Figure 22) remains in normal position with the wire 0 closing circuit on the wire 0" to the relay 0.29

and solenoid C.3i" (Figures 2, 19); and the numeral 3 is developed in the units order of the quotient.

If the operation were 400+2; the wire c1." (Figure 19) would be closed at the accumulator arm SI, and the wire b:z:"' at the lever l'. The relay 0.40, energized by the wire or would close at its bridge second below the highest, circuit of the wire bm' on the extension of the wire dz, which leads to the relay CA2, by which current is closed on the wire ex 'to the conductor 226 (Figure 20). The are of the conductor 225 is shown in Figure 20 as of 300; and closes circuit' through the contact 221 (Figures 19, 20) common to all conductors 226 -226 to the relay 0.26, which operates the transmitter in degree proportionate to the amplitude of the conductor 226 -226 to which an ea: circuit may be closed. to effect, in present computation, such angular displacement of the disk 40a. (Figure 21) as to shift the c and the e circuits of the divisor upwards from relays 0.4", 0.2" of the units order, tothe corresponding relays of the hundreds order. A corresponding displacement of the disk a (Figure 22) shifts the current of the wire 0', to the relay Q29, and solenoid CJI which said solenoid C.3l' operates'tbe quotientarm 21' of the hundreds order. The quotient 2, followed by two cyphers, would be reflected at the hundreds order of the quotient am.

If the operation were .6+200==.003, the wire cm" (Figure 19) would be closed at the accuinulator arm 6|" to the relay CAO"; and the wire bx leading from the lever I would be closed over the highest bridge at the relay CAO" through the wire dx to the relay CA2, where circuit would be completed through the wire ex and the conductor 226 to the clutch 0.26.

The are of the conductor 226 (Figure20) is such as to cause the clutch 0.26 (Figure 19) to rotate the transmitter 400. three denominational orders downwards carrying the first numeral 2, of the divisor 200 to the tenths order of the dividend.

and switching the circuit of the wire 0 three orders downwards from the units order, and closing it on the wire 0' to the relays C19", and solenoid (2.3M, which solenoid CJI operates in the thousandths order. The numeral 3 preceded by two cyphers and the decimal point, would be reflected at the quotient arnis.

If after shift of circuits, as above described, the quantity in the highest denominational orders of the dividend, be less than the divisor; the comparator (Figures 13, 14) automatically shifts the operation to lower orders, in manner hereinbefore disclosed.

Depression of the push. button P.3, initiating, after shift of circuits, the operation of division, breaks the circuit of the wire sr, to the clutch 0.28 and relays CH -C42 at the bridge 24'.

tended, since the bridges along this diagonal 

